Foliated field theories for fracton topological phases

Paper Title:

Foliated BF theories and Multipole symmetries

Published on:

10 October 2023

Primary Category:

Strongly Correlated Electrons

Paper Authors:

Hiromi Ebisu,

Masazumi Honda,

Taiichi Nakanishi

Bullets

Key Details

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New foliated BF theories are constructed from systems with multipole symmetries

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Theories show unusual ground state degeneracy depending on greatest common divisor of N and system size

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Provides unified framework for fracton phases and related higher-rank topological phases

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Links to previous lattice models for fracton phases

Explore the topics in this paper

foliated bf theory

fractons

higher-rank topology

multipole symmetries

topological phases

AI generated summary

Foliated field theories for fracton topological phases

This paper introduces new foliated BF field theories that exhibit properties of fracton topological phases. The theories are constructed by considering systems with multipole symmetries, including global, dipole, and quadrupole symmetries. Gauge fields are introduced for each symmetry, allowing systematic construction of foliated BF theories. The theories show unusual ground state degeneracy dependence on system size, related to greatest common divisor of the symmetry parameter N and system dimensions. The theories represent a unified framework for fracton phases and related higher-rank topological phases.